SSC CHSL 2024 PYQ — Question 55

SSC CHSL - 11 July 2024 - Shift 3 • Quantitative Aptitude • Q55

There are two circles touching each other externally. The radius of the first circle with centre O is 12 cm. The radius of the second circle with centre A is 5 cm. Find the length of their common tangent touching the two circles at points P and Q.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option  1 i.e.  4154\sqrt15 cm.

Length of common tangent = 2r1.r2\sqrt{r_1.r_2}

= 212×5\sqrt{12\times5}

= 4154\sqrt15 cm

Hence, the length of the tangent = 4154\sqrt15 cm